The sum of angles of a pentagon is 540°, so x must be chosen to make that so.
85 + 110 + x + 120 + 120 = 540
540 -435 = x = 105
_____
The formula usually used to find the degree measure of the internal angles of an n-sided polygon is (n -2)·180°. For n=5, this is 3·180° = 540°.
The length of EF is 3.8
<h3>How to solve for EF?</h3>
To do this, we make use of the following law of sines
EF/sin(D)= DE/sin(F)
So, we have:
EF/sin(75)= 3/sin(50)
This gives
EF = sin(75) * 3/sin(50)
Evaluate the product
EF = 3.8
Hence, the length of EF is 3.8
Read more about law of sines at:
brainly.com/question/4372174
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6x + 11 - 16x = -21
6x-16x = -32
-10x = -32
x = -32/-10
x = 3.2
Answer:
Step-by-step explanation:
Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) 
.
We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63
b = ±√(a² - c²)
= ±√(91² - 63²)
= ±√(8281 - 3969)
= ±√4312
= ±14√22
So the equation is
The answer is 1
<span>y varies inversely as x:
y = k/x
We have:
k = 8
y = 8
x = ?
y = k/x
x = k/y
x = 8/8
x = 1</span>
